BPCPPDYSOE21 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 1: Wetting - organized by Stefan Karpitschka (Max Planck Institute for Dynamics and Self-Organization, Göttingen) (joint session CPP/DY)
DY 1.6: Vortrag
Montag, 22. März 2021, 11:40–12:00, CPPb
Wetting transitions on soft substrates — Marek Napiorkowski1, •Lothar Schimmele2, and Siegfried Dietrich2,3 — 1Institute of Theoretical Physics, Faculty of Physics, University of Warsaw, Poland — 2Max-Planck-Institut für Intelligente Systeme, Stuttgart, Germany — 3IV. Institut für Theoretische Physik, Universität Stuttgart, Stuttgart, Germany
Within mean-field theory we study wetting of elastic substrates. Our analysis is based on a grand canonical free energy functional of the fluid number density and of the substrate displacement field. The substrate is described in terms of the linear theory of elasticity, parametrized by two Lamé coefficients. The fluid contribution is of the van der Waals type. Two potentials characterize the interparticle interactions in the system, the long-ranged attraction between the fluid particles and a potential characterizing the substrate-fluid interaction. By integrating out the elastic degrees of freedom we obtain an effective theory for the fluid number density alone. Its structure is similar to the one for wetting of an inert substrate. However, the long-ranged attraction between the fluid particles is replaced by an effective potential which also contains a term bilinear in the substrate-fluid interaction.
We discuss the corresponding wetting transitions in terms of an effective interface potential depending on the thickness of the wetting layer. We show that in the case of algebraically decaying interactions the elasticity of the substrate may suppress critical wetting transitions, and may even turn them first order.